256278937600 has 405 divisors, whose sum is σ = 745916540187. Its totient is φ = 87089479680.

The previous prime is 256278937567. The next prime is 256278937619. The reversal of 256278937600 is 6739872652.

The square root of 256278937600 is 506240.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 130384543744 + 125894393856 = 361088^2 + 354816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2267955144 + ... + 2267955256.

Almost surely, 2^256278937600 is an apocalyptic number.

256278937600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

256278937600 is the 506240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256278937600

256278937600 is an abundant number, since it is smaller than the sum of its proper divisors (489637602587).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

256278937600 is an frugal number, since it uses more digits than its factorization.

256278937600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 256278937600 in words is "two hundred fifty-six billion, two hundred seventy-eight million, nine hundred thirty-seven thousand, six hundred".